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Calculus With Applications [electronic resource] /by Peter D. Lax, Maria Shea Terrell.

by Lax, Peter D [author.]; Terrell, Maria Shea [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Undergraduate Texts in Mathematics: Publisher: New York, NY : Springer New York : 2014.Edition: 2nd ed. 2014.Description: XII, 503 p. 220 illus. online resource.ISBN: 9781461479468.Subject(s): Mathematics | Global analysis (Mathematics) | Mathematics | Analysis | Applications of MathematicsDDC classification: 515 Online resources: Click here to access online
Contents:
1 Numbers and Limits -- 2 Functions and Continuity -- 3 The Derivative and Differentiation -- 4 The Theory of Differentiable Functions -- 5 Applications of the Derivative -- 6 Integration -- 7 Methods for Integration -- 8 Approximation of Integrals -- 9 Complex Numbers -- 10 Differential Equations -- 11 Probability -- Answers to Selected Problems -- Index.
In: Springer eBooksSummary: This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of  functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.
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QA299.6-433 (Browse shelf) Available

1 Numbers and Limits -- 2 Functions and Continuity -- 3 The Derivative and Differentiation -- 4 The Theory of Differentiable Functions -- 5 Applications of the Derivative -- 6 Integration -- 7 Methods for Integration -- 8 Approximation of Integrals -- 9 Complex Numbers -- 10 Differential Equations -- 11 Probability -- Answers to Selected Problems -- Index.

This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of  functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.

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